Properties

Label 226576.ci
Number of curves $1$
Conductor $226576$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 226576.ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
226576.ci1 226576de1 \([0, 1, 0, -231296, 39680171]\) \(12544\) \(109092253016474896\) \([]\) \(1607424\) \(2.0127\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 226576.ci1 has rank \(0\).

Complex multiplication

The elliptic curves in class 226576.ci do not have complex multiplication.

Modular form 226576.2.a.ci

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 2 q^{9} + 3 q^{11} + 6 q^{13} - q^{15} + q^{19} + O(q^{20})\) Copy content Toggle raw display